From kinks to compactonlike kinks

被引:122
作者
Dusuel, S
Michaux, P
Remoissenet, M
机构
[1] Ecole Normale Super Lyon, F-69364 Lyon 07, France
[2] Univ Bourgogne, Phys Lab, F-21011 Dijon, France
来源
PHYSICAL REVIEW E | 1998年 / 57卷 / 02期
关键词
D O I
10.1103/PhysRevE.57.2320
中图分类号
O35 [流体力学]; O53 [等离子体物理学];
学科分类号
070204 ; 080103 ; 080704 ;
摘要
We show that, in the continuum limit, the generalized Phi-four or double-well model with nonlinear coupling can exhibit compactonlike kink solutions for some specific velocity regimes and when the nonlinear coupling between pendulums is dominant. Our numerical simulations point out that the static compacton is stable and the dynamic compacton is unstable. Our study is extended to other topological systems where compacton solutions can also be found. A nice feature is that a mechanical analog of the double-well system can be constructed in the form of an experimental lattice of coupled pendulums, which, in the strong coupling limit, allows the observation of these entities.
引用
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页码:2320 / 2326
页数:7
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